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Respond to the question: Coalition?

01/31/2004 09:05 AM by bronny; Coalition
Hi, pls help me, since I'm very new in game theory.
S (1) (2) (3) (1,2) (1,3) (2,3) (1,2,3)
v(S) 0 0 0 1 2 2 3
1. How to prove that v is superadditive and monotone, but not convex?
2. How to calculate Core, Shapley Value, and Compromise Value
3. How to prove that Compromise Value is lexgraphically less or equall to
Shapley Value
4. Assuming in symmetry, how can I calculate nucleolus? [Manage messages]